{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "95df216f-42b0-4bc4-8cb2-600fd8067064",
   "metadata": {},
   "source": [
    "# Spin Qubits\n",
    "\n",
    "These examples all cover dynamical simulation of spin qubits. These examples use small systems, but note that the GPU will only provide an advantage for systems with total dimension of O(1000)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fdd6afdb-d328-49df-84dc-ca7a018d2fce",
   "metadata": {},
   "source": [
    "## Silicon Spin Qubit\n",
    "\n",
    "This example demonstrates simulation of an electrically-driven silicon spin qubit taken from [\"Nonlinear Response and Crosstalk of Electrically Driven Silicon Spin Qubits\"](https://journals.aps.org/prapplied/pdf/10.1103/PhysRevApplied.19.044078)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e34ad263-766d-4470-9ec6-af294c90afdb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f61b2d4f9d0>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import cudaq\n",
    "from cudaq import spin, boson, Schedule, ScalarOperator, ScipyZvodeIntegrator\n",
    "import numpy as np\n",
    "import cupy as cp\n",
    "import os\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "\n",
    "# Set the target to our dynamics simulator\n",
    "cudaq.set_target(\"dynamics\")\n",
    "\n",
    "dimensions = {0: 2}\n",
    "resonance_frequency = 2 * np.pi * 10  # 10 Ghz\n",
    "\n",
    "# Run the simulation:\n",
    "evolution_results = []\n",
    "get_result = lambda idx, res: [\n",
    "    exp_vals[idx].expectation() for exp_vals in res.expectation_values()\n",
    "]\n",
    "# Sweep the amplitude\n",
    "amplitudes = np.linspace(0.0, 0.5, 20)\n",
    "# Construct a list of Hamiltonian operator for each amplitude so that we can batch them all together\n",
    "batched_hamiltonian = []\n",
    "for amplitude in amplitudes:\n",
    "    # Electric dipole spin resonance (`EDSR`) Hamiltonian\n",
    "    H = 0.5 * resonance_frequency * spin.z(0) + amplitude * ScalarOperator(\n",
    "        lambda t: 0.5 * np.sin(resonance_frequency * t)) * spin.x(0)\n",
    "    # Append the Hamiltonian to the batched list\n",
    "    # This allows us to compute the dynamics for all amplitudes in a single simulation run\n",
    "    batched_hamiltonian.append(H)\n",
    "\n",
    "# Initial state is the ground state of the spin qubit\n",
    "# We run all simulations for the same initial state, but with different Hamiltonian operators.\n",
    "psi0 = cudaq.State.from_data(cp.array([1.0, 0.0], dtype=cp.complex128))\n",
    "\n",
    "# Simulation schedule\n",
    "t_final = 100\n",
    "dt = 0.005\n",
    "n_steps = int(np.ceil(t_final / dt)) + 1\n",
    "steps = np.linspace(0, t_final, n_steps)\n",
    "schedule = Schedule(steps, [\"t\"])\n",
    "\n",
    "results = cudaq.evolve(\n",
    "    batched_hamiltonian,\n",
    "    dimensions,\n",
    "    schedule,\n",
    "    psi0,\n",
    "    observables=[boson.number(0)],\n",
    "    collapse_operators=[],\n",
    "    store_intermediate_results=cudaq.IntermediateResultSave.EXPECTATION_VALUE,\n",
    "    integrator=ScipyZvodeIntegrator())\n",
    "\n",
    "get_result = lambda idx, res: [\n",
    "    exp_vals[idx].expectation() for exp_vals in res.expectation_values()\n",
    "]\n",
    "\n",
    "evolution_results = []\n",
    "for result in results:\n",
    "    evolution_results.append(get_result(0, result))\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "im = ax.contourf(steps, amplitudes, evolution_results)\n",
    "ax.set_xlabel(\"Time (ns)\")\n",
    "ax.set_ylabel(f\"Amplitude (a.u.)\")\n",
    "fig.suptitle(f\"Excited state probability\")\n",
    "fig.colorbar(im)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3791ecd9-beb0-4407-a387-852d2e8372b7",
   "metadata": {},
   "source": [
    "## Heisenberg Model\n",
    "\n",
    "This example solves the [Quantum Heisenberg model](https://en.wikipedia.org/wiki/Quantum_Heisenberg_model),which exhibits the so-called quantum quench effect. See [\"Quantum quenches in the anisotropic spin-1/2 Heisenberg chain: different approaches to many-body dynamics far from equilibrium\"](https://iopscience.iop.org/article/10.1088/1367-2630/12/5/055017) for more details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "dfe45c6f-eb8c-4504-ba65-deb1a590a44d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import cudaq\n",
    "from cudaq import spin, Schedule, ScipyZvodeIntegrator\n",
    "\n",
    "import numpy as np\n",
    "import cupy as cp\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "\n",
    "# Set the target to our dynamics simulator\n",
    "cudaq.set_target(\"dynamics\")\n",
    "\n",
    "# Number of spins\n",
    "N = 9\n",
    "dimensions = {}\n",
    "for i in range(N):\n",
    "    dimensions[i] = 2\n",
    "\n",
    "# Initial state: alternating spin up and down\n",
    "spin_state = ''\n",
    "for i in range(N):\n",
    "    spin_state += str(int(i % 2))\n",
    "\n",
    "# Observable is the staggered magnetization operator\n",
    "staggered_magnetization_op = spin.empty()\n",
    "for i in range(N):\n",
    "    if i % 2 == 0:\n",
    "        staggered_magnetization_op += spin.z(i)\n",
    "    else:\n",
    "        staggered_magnetization_op -= spin.z(i)\n",
    "\n",
    "staggered_magnetization_op /= N\n",
    "\n",
    "observe_results = []\n",
    "batched_hamiltonian = []\n",
    "anisotropy_parameters = [0.0, 0.25, 4.0]\n",
    "for g in anisotropy_parameters:\n",
    "    # Heisenberg model spin coupling strength\n",
    "    Jx = 1.0\n",
    "    Jy = 1.0\n",
    "    Jz = g\n",
    "\n",
    "    # Construct the Hamiltonian\n",
    "    H = spin.empty()\n",
    "\n",
    "    for i in range(N - 1):\n",
    "        H += Jx * spin.x(i) * spin.x(i + 1)\n",
    "        H += Jy * spin.y(i) * spin.y(i + 1)\n",
    "        H += Jz * spin.z(i) * spin.z(i + 1)\n",
    "    # Append the Hamiltonian to the batched list\n",
    "    batched_hamiltonian.append(H)\n",
    "\n",
    "steps = np.linspace(0.0, 5, 1000)\n",
    "schedule = Schedule(steps, [\"time\"])\n",
    "\n",
    "# Prepare the initial state vector\n",
    "psi0_ = cp.zeros(2**N, dtype=cp.complex128)\n",
    "psi0_[int(spin_state, 2)] = 1.0\n",
    "psi0 = cudaq.State.from_data(psi0_)\n",
    "\n",
    "# Run the simulation in batched mode\n",
    "evolution_results = cudaq.evolve(\n",
    "    batched_hamiltonian,\n",
    "    dimensions,\n",
    "    schedule,\n",
    "    psi0,  # Same initial state for all Hamiltonian operators\n",
    "    observables=[staggered_magnetization_op],\n",
    "    collapse_operators=[],\n",
    "    store_intermediate_results=cudaq.IntermediateResultSave.EXPECTATION_VALUE,\n",
    "    integrator=ScipyZvodeIntegrator())\n",
    "\n",
    "for g, evolution_result in zip(anisotropy_parameters, evolution_results):\n",
    "    exp_val = [\n",
    "        exp_vals[0].expectation()\n",
    "        for exp_vals in evolution_result.expectation_values()\n",
    "    ]\n",
    "\n",
    "    observe_results.append((g, exp_val))\n",
    "\n",
    "# Plot the results\n",
    "fig = plt.figure(figsize=(12, 6))\n",
    "for g, exp_val in observe_results:\n",
    "    plt.plot(steps, exp_val, label=f'$ g = {g}$')\n",
    "plt.legend(fontsize=16)\n",
    "plt.ylabel(\"Staggered Magnetization\")\n",
    "plt.xlabel(\"Time\")"
   ]
  }
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